Effect of Finite Extensibility on the Equilibrium Chain Size

Effect of Finite Extensibility on the Equilibrium Chain Size
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有限延展性对平衡链尺寸的影响

DOI:
10.1002/mats.201000009
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发表时间:
2010
影响因子:
1.4
通讯作者:
G. Sadowski
G. Sadowski
中科院分区:
工程技术4区
文献类型:
--
作者:
B. Miao;T. A. Vilgis;S. Poggendorf;G. Sadowski

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我们通过Flory型计算研究了有限延伸性对单个聚合物链平衡尺寸的影响。通过将高斯拉伸能修改为非高斯形式,有效地考虑了链的有限可延伸性,该非高斯形式在弱拉伸极限下恢复了谐波弹簧行为,并且当链延伸接近总轮廓长度时发散。一般来说,与Flory的经典理论相比,有限延展性降低了链的平衡尺寸,这是由于有限延展性效应产生的链的自由能或有效势能更陡。它清楚地表明,对于具有短轮廓长度和/或具有单体之间的强排斥的链,有限延伸性校正是重要的,并且需要考虑。一个典型的系统,其中有限的延伸性起着重要的作用,建议是高电荷和高度交联的水凝胶。
We investigate the finite‐extensibility effect on the equilibrium size of a single polymer chain by using a Flory‐type calculation. The finite extensibility of the chain is effectively taken into account by modifying the Gaussian stretching energy to a non‐Gaussian form which recovers the harmonic spring behavior in the limit of weak stretch and diverges when the chain extension approaches the total contour length. In general, the finite extensibility decreases the equilibrium size of the chain compared to that obtained from Flory's classic theory, due to a steeper free energy or effective potential of the chain generated by the finite‐extensibility effect. It is illustrated clearly that, for a chain with a short contour length and/or with strong repulsions between monomers, the finite‐extensibility correction is important and necessary to be taken into account. A typical system where the finite extensibility plays an important role is suggested to be the highly charged and highly crosslinked hydrogel.
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